Lattice methods for quantum chromodynamics

By T. DeGrand, C. DeTar. 2006

392 citations recorded by the source corpus.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/958ef287e33cb541785c53eb6c50bb3acf018c65

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. David M. Straub
2. Andrzej Buras
3. W. Altmannshofer
4. J. Virto
5. M. Jung
6. Farvah Mahmoudi
7. C. Bobeth
8. A. Pich

Citations in the corpus

• Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions (2013, background): “1(b) and 1(c)] and represents a key ingredient of any gauge theory in the presence of matter fields [28–31,45].”
• Tensor Networks for Lattice Gauge Theories and Atomic Quantum Simulation (2013, background): “In high energy physics they provide non-perturbative approach to Abelian and non-Abelian continuum gauge models like quantum electrodynamics (QED) or quantum chromodynamics (QCD) [1, 2].”
• Relativistic Fluid Dynamics in and out of Equilibrium (2017, neutral): “field configurations will exhibit strong auto-correlations [211].”
• Insights into the emergence of mass from studies of pion and kaon structure (2021, background): “It is beyond the scope of this article to describe the theoretical formalism and computational implementation of lattice gauge theory in general, and the reader is referred to several pedagogical textbooks [378–381].”
• Lattice gauge theory simulations in the quantum information era (2016, methodology): “Since their introduction in 1974 by Wilson [48], lattice gauge theories (LGTs) have found widespread application in the investigation of non-perturbative effects in gauge theories [49–52].”
• Light Hadron Masses from Lattice QCD (2012, background): “…treatment is usually inadequate, which is the case in low energy QCD. Lattice gauge theory was introduced by (Wilson, 1974)1 and recent overviews include (DeGrand and Detar, 2006; Di Pierro, 2000; Gattringer and Lang, 2010; Gupta, 1997; Montvay and Munster, 1994; Rothe, 2005; Smit, 2002)2.”
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory (2009, methodology): “The GEVP is applicable beyond the computation of the ground state energy and it has been widely used in lattice field theories [5].”
• The Belle II Physics Book (2018, background): “For a pedagogical introduction we refer to the excellent books [1067] and [1068].”
• Equivariant flow-based sampling for lattice gauge theory (2020, methodology): “could attempt to use a gauge-fixing procedure to select a single configuration from each gauge-equivalent class, leaving only physical degrees of freedom; however, the only known gauge fixing procedures that preserve translational invariance are based on implicit differential equation constraints [5”
• SU(N) gauge theories at large N (2012, background): “The reader interested in this latter aspect is referred to the excellent textbooks on lattice gauge theories [539, 540, 541, 542, 543, 544].”
• Mesons in gauge/gravity duals (2007, background): “Despite the tremendous successes of large scale computer simulations (lattice gauge theory - for introductory texts see [9, 10, 11]), in particular the low-energy mechanisms in QCD for confinement and chiral symmetry breaking remain unclear conceptually.”